...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 64 | Number 1 | Year 2018 | Article Id. IJMTT-V64P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V64P505

On Leap Hyper-Zagreb Indices of Some Nanostructures


B.Basavanagoud and Chitra.E
Abstract

In recent years, higher order topological indices have gained enormous importance because of their greater correlation with many chemical properties. One among them is leap hyper-Zagreb index which is based on both distance and degree. In this paper, we compute the expressions for first and second leap hyper-Zagreb indices of some nanostructures.

Keywords
degree, distance, nanostructure, leap hyper-Zagreb index
References

[1] K.Agilarasan, A. Selvakumar, Some bounds on forgotten topological index, Int. J. Math. Trends and Tech., vol. 56(7), pp. 521-523, 2018.
[2] A.R.Ashrafi, A. Loghman, PI index of armchair polyhex nanotubes, Ars Combinatoria, Vol. 80, pp. 193, 2006.
[3] A.Bahrami, J. Yazdani, Vertex PI index of V-phenylenic nanotubes and nanotori, Digest J. Nanomaterials and Biostructures, vol. 4(1) , 141-144, 2009.
[4] B.Basavanagoud, S. Patil, H. Deng, On the second order first Zagreb index, Iranian J. Math. Chem., vol. 8(3), pp. 299-311, 2017.
[5] B.Basavanagoud, E. Chitra, On the leap Zagreb indices of generalized xyz-point-line transformation graphs Txyz(G) when z=1, Int. J. Math. Combin., vol. 2, pp. 44-66, 2018.
[6] H.Deng, Catacondensed benzenoids and phenylenes with the extremal third-order Randi c' index, MATCH Commun. Math. Comput.Chem., vol. 64, pp. 471-496, 2010.
[7] M.R.Farahani, Computing 5GA index of V-phenylenic nanotubes and nanotori, Int. J. Chem. Model., vol. 5(1) , pp. 479-484, 2014.
[8] M. R.Farahani, Computing theta polynomial and theta index of V-phenylenic planar, nanotubes and nanotoris, Int. J. Theoretical Chem., vol.Vol. 1(1) , pp. 01-09, 2013.
[9] B.Furtula, I. Gutman, A forgotten topological index, J. Math. Chem., vol. 53, pp. 1184-1190 , 2015.
[10] I.Gutman, N. Trinajstic , Graph theory and molecular orbitals, total electron energy of alternant hydrocarbons, Chem. Phys. Lett., vol. 17, pp. 535-538 , 1972.
[11] F.Harary, Graph Theory, Addison-Wesely, Reading, Mass, 1969.
[12] S.M.Hosamani, Computing Sanskruti index of certain nanostructures, J. Appl. Math. Comput., 2016, DOI. 10.1007/s12190-016-1016-9.
[13] A.Heydari, B. Taeri, szeged index of nanotubes, MATCH Commun. Math. Comput. Chem., vol. 57, pp. 463-477, 2007.
[14] A.Heydari, B. Taeri, Wiener and Schultz indices of TUC4C8(S) nanotubes, MATCH. Commun. Math. Comput. Chem., vol. 57, pp. 665-676, 2007.
[15] H.Jiang, M. S. Sardar, M. R. Farahani , M. Rezaei, M. K. Siddiqui, Computing Sanskruti index of V-phenylenic nanotubes and nanotori, Int. J. pure Appl. Math., vol. 115(4) , pp. 859-865, 2017.
[16] K.G.Mirajkar, Y. B. Priyanka, On the reformulated Zagreb indices of certain nanostructures, Global J. Pure Appl. Math., vol. 13(2), pp.817-827, 2017.
[17] V.R.Kulli, College Graph Theory , Vishwa Int. Publ., Gulbarga, India, 2012.
[18] V.R.Kulli, Leap hyper-Zagreb indices and their polynomials of certain graphs, Int. J. current research in life Sci., vol. 7(10), pp. 2783-2791, 2018.
[19] A.M.Naji, N. D. Soner, I. Gutman, On leap Zagreb indices of graphs, Commun. Comb. Optim., vol. 2(2) , pp. 99-117 , 2017.
[20] M.J.Nikmehr, M. Veylaki, N. Soleimani, Some topological indices of V-phenylenic nanotube and nanotori, Optoelectron Adv. Mater-Rapid Comm., vol. 9(9) , pp. 1147-1149 , 2015.
[21] N.Soleimani, M. J. Nikmehr, H. A. Tavallae, Computation of the different topological indices of nanostructures, J. Natn. Sci. Foundation Sri- Lanka, vol. 43(2), pp. 127-133 , 2015.
[22] N.Soleimani, E. Mohseni, F. Rezaei, F. Khati, Some formulas for the polynomials and topological indices of nanostructures, Acta Chem. Iasi, vol. 24(2), pp. 122-138, 2016.
[23] N.D.Soner, A. M. Naji, The k-distance neighbourhood polynomial of a graph, Int. J. Math. Comput. Sci.WASET Conference Proceedings, Vol. 3(9) part XV, pp. 2359-2364 , 2016.
[24] H.Wiener, Structural determination of paraffin boiling points, J. Amer. Chem. Soc., vol. 69, pp. 17-20, 1947.

Citation :

B.Basavanagoud and Chitra.E, "On Leap Hyper-Zagreb Indices of Some Nanostructures," International Journal of Mathematics Trends and Technology (IJMTT), vol. 64, no. 1, pp. 30-36, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V64P505

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved